Now, the problem is that the moment I use AJAX to update the GridView (for example, by actually using the pager), the <select> and <script> tags are not re-generated. I end up with the buttons, and "Jump to: " with no select box afterwards.

How can I solve this?

I'm looking for a way that wouldn't require me to use onAjaxUpdate for every GridView I make, so that I can include it in the class and make it global and the "default" behavior.